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A composite figure is represented in the image.

A four-sided shape with the base side labeled as 21.3 yards. The height is labeled 12.8 yards. A portion of the top from the perpendicular side to a right vertex is labeled 6.4 yards. A portion of the top from the perpendicular side to a left vertex is labeled 14.9 yards.

What is the total area of the figure?

272.64 yd2
231.68 yd2
190.72 yd2
136.32 yd2

User Phinz
by
7.8k points

1 Answer

2 votes

Final answer:

The total area of the composite figure is 231.68 yd².

Step-by-step explanation:

The composite figure can be divided into two parts: a rectangle and a triangle.

The rectangle has a base of 21.3 yards and a height of 12.8 yards, so its area is 21.3 yards multiplied by 12.8 yards.

The triangle has a base of 6.4 yards and a height of 14.9 yards, so its area is 1/2 multiplied by 6.4 yards multiplied by 14.9 yards. To find the total area, add the area of the rectangle and the area of the triangle.

Calculate the values and you will find that the total area of the figure is 231.68 yd².